nd the centroid of the region cut from the first quadrant by the circle x +y = 121. e coordinates of the centroid are (x,y)=- ype an ordered pair. Type an exact answer, using as needed.)

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A: This question can be solved using the concept of time and work.

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A: Standard integrals are given, we have to find its antiderivative

Q: Let f(x) = 9x² + 2x, g(x) = 7x - 7. Evaluate the following: (1) (f+g)(-3) = (2) (ƒ − g)( − 1) = -

A: First I have calculate the values of , f(-3),g(-3) , f(-1) and g(-1) then find the required values.…

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Q: of the following indicates that the graph of the function f(z) has a horizontal asymptote th(") and…

A: The line y=2 is horizontal asymptote of the graph of f(x) if      x>Infity Lim f(x) = 2 or…

Q: Which of the following is a vertical asymptote of the graph of f (x) = 0x=13 y = 9 O O x=9 O U || 3…

A: Vertical asymptotes : It occurs where the denominator of a rational function approaches zero.

Q: ate ſ- dx 4x²+1

A:

Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

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A: We are asked to find the area of the region

Q: Given: S dx x+2x3

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A: A particle moves along a straight line with a velocity v(t)=t2e2t meters per second after t seconds.

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A: we can find the particular solution.

Q: Given that lim f(x) = 4 and lim g(x) = -2. Find the value of x-2 x-2 lim 4f(x) + x-2 [g(x)]³ ) 2

A: we find the value of given limit

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A: We have to find area

Q: The integral 9 [² 1 x - 1 dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: 4. If z = x + iy = (x, y) then the Re(iz) A. Imz B.-Rez C. -Imz D. Rez E. none of the above

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Q: Find the indefinite integral using any method. (Use C for the constant of integration.) [(sin(0) +…

A: We have to find integration in this question.

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: fe* sin 2xdx.

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Q: If f (t)=tan³ (2πt), then f' (t) = Ortan² (2nt) sec² (2πt) Otan² (2nt) sec² (2nt) O 2π tan² (2πt)…

A: using chain re of derivative,

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Q: Find the acceleration (in ft/sec²) of the boat when there is a total of 10 feet of rope out. (

A: Follow the procedure given below.

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A: We have to find how long did Wendy spend on the train.

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A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: 4. ff 3 dx dy 0 y

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A: We are asked to find the intersection point.

Q: Evaluate f √x² - 16 8 -dx

A: use the substitution method for solving the integral.

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Suppose that F(x) = f(g(x)), where ƒ(2) = 3, g(2) = 5, g' (2) = 4, ƒ' (2) = -2, and ƒ' (5) = 11.…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given problem:-

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Q: 6. Find the area bounded by the curve 2y² + 4x + y = 0 and the line y = 2x.

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Q: What is lim O -∞ 0 1 2 O +∞ x^x + x^ I 2-700x + √x-2x√x²

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Q: A function F(x) has a given value F(0) = 2. A graph of the derivative F'(x) is given below. What is…

A: A function F(x) has a given F(0)=2 A graph of derivatives F'(x) is given here .we find the value of…